speclib.f90 File Reference

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Modules
module	speclib
	LIBRARY ROUTINES FOR SPECTRAL METHODS.

Functions/Subroutines
subroutine	speclib::zwgl (z, w, np)
	Generate NP Gauss Legendre points Z and weights W associated with Jacobi polynomial \( P(N)(\alpha=0, \beta=0) \). The polynomial degree N = NP-1.
subroutine	speclib::zwgll (z, w, np)
subroutine	speclib::zwgj (z, w, np, alpha, beta)
subroutine	speclib::zwgjd (z, w, np, alpha, beta)
subroutine	speclib::zwglj (z, w, np, alpha, beta)
subroutine	speclib::zwgljd (z, w, np, alpha, beta)
real(kind=xp) function	speclib::endw1 (n, alpha, beta)
real(kind=xp) function	speclib::endw2 (n, alpha, beta)
real(kind=xp) function	speclib::gammaf (x)
real(kind=xp) function	speclib::pnormj (n, alpha, beta)
subroutine	speclib::jacg (xjac, np, alpha, beta)
subroutine	speclib::jacobf (poly, pder, polym1, pderm1, polym2, pderm2, n, alp, bet, x)
real(kind=xp) function	speclib::hgj (ii, z, zgj, np, alpha, beta)
real(kind=xp) function	speclib::hgjd (ii, z, zgj, np, alpha, beta)
real(kind=xp) function	speclib::hglj (ii, z, zglj, np, alpha, beta)
real(kind=xp) function	speclib::hgljd (i, z, zglj, np, alpha, beta)
subroutine	speclib::dgj (d, dt, z, nz, nzd, alpha, beta)
subroutine	speclib::dgjd (d, dt, z, nz, nzd, alpha, beta)
subroutine	speclib::dglj (d, dt, z, nz, nzd, alpha, beta)
subroutine	speclib::dgljd (d, dt, z, nz, nzd, alpha, beta)
subroutine	speclib::dgll (d, dt, z, nz, nzd)
real(kind=xp) function	speclib::hgll (i, z, zgll, nz)
real(kind=xp) function	speclib::hgl (i, z, zgl, nz)
real(kind=xp) function	speclib::pnleg (z, n)
subroutine	speclib::legendre_poly (l, x, n)
	Evaluate Legendre polynomials of degrees 0-N at point x and store in array L.
real(kind=xp) function	speclib::pndleg (z, n)
subroutine	speclib::dgllgl (d, dt, zm1, zm2, im12, nzm1, nzm2, nd1, nd2)
subroutine	speclib::dgljgj (d, dt, zgl, zg, iglg, npgl, npg, nd1, nd2, alpha, beta)
subroutine	speclib::dgljgjd (d, dt, zgl, zg, iglg, npgl, npg, nd1, nd2, alpha, beta)
subroutine	speclib::iglm (i12, it12, z1, z2, nz1, nz2, nd1, nd2)
subroutine	speclib::igllm (i12, it12, z1, z2, nz1, nz2, nd1, nd2)
subroutine	speclib::igjm (i12, it12, z1, z2, nz1, nz2, nd1, nd2, alpha, beta)
subroutine	speclib::igljm (i12, it12, z1, z2, nz1, nz2, nd1, nd2, alpha, beta)